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arXiv · 2101.05274

A note on balancing sequences and application to cryptography

K. Anitha·I. Mumtaj Fathima·A R Vijayalakshmi
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Abstract

In this paper, we prove the lower bound for the number of balancing non-Wieferich primes in arithmetic progressions. More precisely, for any given integer $r\geq2$ there are $\gg\log x$ balancing non-Wieferich primes $p\leq x$ such that $p\equiv\pm1 \pmod{r}$, under the assumption of the $abc$ conjecture for the number field $\mathbb{Q}(\sqrt{2})$. Further, we discuss some applications of balancing sequences in cryptography.

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K. Anitha, I. Mumtaj Fathima, A R Vijayalakshmi. 2021-01-13. A note on balancing sequences and application to cryptography. https://arxiv.org/abs/2101.05274

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